help!! Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Every day she ___________ her practice time by _________. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation.
Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day he_________
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- Pick any number for the first blank. This is the first term of the arithmetic sequence, \(a_1\).
- Choose whether the time spent will increase or decrease as the week continues for the second blank
- For the third blank, choose by how many minutes the practice will increase or decrease. -The second and third blanks combine to give the common difference, \(d\). (positive for increase, negative for decrease)
Once you have \(a_1\) and \(d\) you can write the formula for the sequence and use it to find \(a_7\), the time practiced on the 7th day